Factors of 414 are integers that can be divided evenly into 414. There are 12 factors of 414 of which 414 itself is the biggest factor and its prime factors are 2, 3, 23 The sum of all factors of 414 is 936.

• All Factors of 414: 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414
• Prime Factors of 414: 2, 3, 23
• Prime Factorization of 414: 2¹ × 3² × 23¹
• Sum of Factors of 414: 936

1.	What Are the Factors of 414?
2.	Factors of 414 by Prime Factorization
3.	Factors of 414 in Pairs
4.	FAQs on Factors of 414

Factors of 414 are pairs of those numbers whose products result in 414. These factors are either prime numbers or composite numbers.

How to Find the Factors of 414?

To find the factors of 414, we will have to find the list of numbers that would divide 414 without leaving any remainder.

• 414/138 = 3; therefore, 138 is a factor of 414 and 3 is also a factor of 414.
• 414/9 = 46; therefore, 9 is a factor of 414 and 46 is also a factor of 414.

Similarly we can find other factors. Hence, the factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414.

☛ Also Check:

• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45

The number 414 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 414. The first step is to divide the number 414 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 414 ÷ 2 = 207

Further dividing 207 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 207 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 414 can be written as 2¹ × 3² × 23¹ where 2, 3, 23 are prime.

Pair factors of 414 are the pairs of numbers that when multiplied give the product 414. The factors of 414 in pairs are:

• 1 × 414 = (1, 414)
• 2 × 207 = (2, 207)
• 3 × 138 = (3, 138)
• 6 × 69 = (6, 69)
• 9 × 46 = (9, 46)
• 18 × 23 = (18, 23)

Negative pair factors of 414 are:

• -1 × -414 = (-1, -414)
• -2 × -207 = (-2, -207)
• -3 × -138 = (-3, -138)
• -6 × -69 = (-6, -69)
• -9 × -46 = (-9, -46)
• -18 × -23 = (-18, -23)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.